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Finding the Fourth Proportional to 406.51, 556.15 and 404.77

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Solution

The fourth proportional to 406.51, 556.15 and 404.77 is: 553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.51 : 556.15 = 404.77 : x
  2. Step 2: Convert to fraction form
    406.51/556.15 = 404.77/x
  3. Step 3: Cross multiply
    406.51x = 556.15 × 404.77
  4. Step 4: Simplify right side
    406.51x = 225,112.84
  5. Step 5: Solve for x
    x = 225,112.84/406.51
  6. Step 6: Final answer
    x = 553.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.